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12421130310 = 23257310717669
BaseRepresentation
bin10111001000101101…
…10110100001000110
31012001122112210112100
423210112312201012
5200414302132220
65412311532530
7616543602621
oct134426664106
935048483470
1012421130310
1152a444a056
1224a798a146
13122c493b64
1485b922db8
154ca709d90
hex2e45b6846

12421130310 has 96 divisors (see below), whose sum is σ = 33045161760. Its totient is φ = 3236212224.

The previous prime is 12421130299. The next prime is 12421130321. The reversal of 12421130310 is 1303112421.

12421130310 is a `hidden beast` number, since 1 + 242 + 113 + 0 + 310 = 666.

It is an interprime number because it is at equal distance from previous prime (12421130299) and next prime (12421130321).

It is a super-2 number, since 2×124211303102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 694156 + ... + 711824.

It is an arithmetic number, because the mean of its divisors is an integer number (344220435).

Almost surely, 212421130310 is an apocalyptic number.

12421130310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12421130310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16522580880).

12421130310 is an abundant number, since it is smaller than the sum of its proper divisors (20624031450).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12421130310 is a wasteful number, since it uses less digits than its factorization.

12421130310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17862 (or 17859 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12421130310 its reverse (1303112421), we get a palindrome (13724242731).

The spelling of 12421130310 in words is "twelve billion, four hundred twenty-one million, one hundred thirty thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 73 90 107 146 214 219 321 365 438 535 642 657 730 963 1070 1095 1314 1605 1926 2190 3210 3285 4815 6570 7811 9630 15622 17669 23433 35338 39055 46866 53007 70299 78110 88345 106014 117165 140598 159021 176690 234330 265035 318042 351495 530070 702990 795105 1289837 1590210 1890583 2579674 3781166 3869511 5671749 6449185 7739022 9452915 11343498 11608533 12898370 17015247 18905830 19347555 23217066 28358745 34030494 38695110 56717490 58042665 85076235 116085330 138012559 170152470 276025118 414037677 690062795 828075354 1242113031 1380125590 2070188385 2484226062 4140376770 6210565155 12421130310